{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "8729b463-4b9f-4ab6-92b5-72decc5cc85a",
   "metadata": {},
   "source": [
    "- todo\n",
    "    - 保存为 gif"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "51f932ac-581c-49e1-add0-e10bde6ee4fc",
   "metadata": {},
   "outputs": [],
   "source": [
    "from IPython.display import Image"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "840a79c1-e574-4b41-8fdd-ff1a74040dc1",
   "metadata": {},
   "source": [
    "### norm"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eaade90f-b5d3-46e5-a085-85fe0f8ee6ac",
   "metadata": {},
   "source": [
    "> 稳定加速训练；\n",
    "- batch norm, layer norm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "cdef9d5e-98f1-4ed4-a5bd-562bc873bfb2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<img src=\"https://miro.medium.com/v2/resize:fit:1400/format:webp/1*vXpodxSx-nslMSpOELhovg.png\" width=\"400\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image(url='https://miro.medium.com/v2/resize:fit:1400/format:webp/1*vXpodxSx-nslMSpOELhovg.png', width=400)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "92cc0b54-38ce-43e3-b62b-1faf7866f19a",
   "metadata": {},
   "source": [
    "### 避免局部最优"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6f92059a-bd20-412f-bb9b-fbc0d071797b",
   "metadata": {},
   "source": [
    "- sgd\n",
    "    - 使用单个或小批量样本计算出的梯度是对整体梯度的一个有噪声的估计。这个“噪声”正是关键！它可能偶尔会指向一个“错误”的方向，但这个错误的方向恰好可能帮助参数“越过”某个局部最优点的“山丘”\n",
    "- 动量法 (Momentum）\n",
    "    - 它像一个从山上滚下来的铁球。当它冲到局部最优的坑底时，由于积累的惯性（动量），它没有停下，而是直接“冲”上了对面的山坡，成功越过了障碍。\n",
    "- Adam 要用更大的学习率；\n",
    "    - 否则下降得非常慢；\n",
    "- 如下代码\n",
    "    - 对学习率比较敏感；"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "89c96782-904b-484e-8f2e-d235cb982f22",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "gd: 3.837987184524536\n",
      "sgd: 3.8703629970550537\n",
      "momentum: -1.296283483505249\n",
      "adam: -1.5369657278060913\n",
      "sa: 3.524017066203674\n",
      "lbfgs: -1.306439995765686\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(-10.0, 80.0)"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1400x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import torch\n",
    "import torch.optim as optim\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import math\n",
    "\n",
    "\n",
    "# 1. 定义我们的“陷阱”函数\n",
    "def loss_function(x):\n",
    "    return x**2 + 10 * torch.sin(x)\n",
    "\n",
    "# 2. 优化器运行函数\n",
    "def run_optimizer(optimizer_name, x_start, lr, momentum=0, epochs=60):\n",
    "    x = torch.tensor([x_start], dtype=torch.float32, requires_grad=True)\n",
    "    \n",
    "    if optimizer_name == 'GD':\n",
    "        # 标准梯度下降（用SGD模拟，batch size为1，无动量）\n",
    "        optimizer = optim.SGD([x], lr=lr)\n",
    "    elif optimizer_name == 'SGD_Noise':\n",
    "        # 模拟带噪声的SGD（手动添加噪声）\n",
    "        # 在真实场景中，噪声来自mini-batch的随机性\n",
    "        optimizer = optim.SGD([x], lr=lr)\n",
    "    elif optimizer_name == 'Momentum':\n",
    "        optimizer = optim.SGD([x], lr=lr, momentum=momentum)\n",
    "    elif optimizer_name == 'Adam':\n",
    "        optimizer = optim.Adam([x], lr=lr)\n",
    "    else:\n",
    "        raise ValueError(\"Unknown optimizer\")\n",
    "\n",
    "    path = []\n",
    "    for i in range(epochs):\n",
    "        path.append(x.item())\n",
    "        optimizer.zero_grad()\n",
    "        loss = loss_function(x)\n",
    "        loss.backward()\n",
    "        \n",
    "        if optimizer_name == 'SGD_Noise':\n",
    "            # 手动为梯度增加噪声，模拟真实SGD的效果\n",
    "            noise = torch.randn(1) * 5.0 # 噪声强度可以调整\n",
    "            x.grad += noise\n",
    "\n",
    "        optimizer.step()\n",
    "        \n",
    "    return path\n",
    "\n",
    "# 3. L-BFGS 优化器运行函数 (注意其结构不同)\n",
    "def run_lbfgs(x_start, epochs=15): # L-BFGS 通常收敛很快，不需要很多epoch\n",
    "    x = torch.tensor([x_start], dtype=torch.float32, requires_grad=True)\n",
    "    # L-BFGS 的学习率通常设为1，因为它内部会计算步长\n",
    "    optimizer = optim.LBFGS([x], lr=1, max_iter=20)\n",
    "    \n",
    "    path = [x.item()]\n",
    "\n",
    "    for i in range(epochs):\n",
    "        # 定义 closure 函数\n",
    "        def closure():\n",
    "            optimizer.zero_grad()\n",
    "            loss = loss_function(x)\n",
    "            loss.backward()\n",
    "            return loss\n",
    "        \n",
    "        optimizer.step(closure)\n",
    "        path.append(x.item())\n",
    "        \n",
    "    return path\n",
    "\n",
    "# 3. 模拟退火 (Simulated Annealing) 的实现\n",
    "def run_simulated_annealing(x_start, epochs=60, initial_temp=20.0, final_temp=0.1, alpha=0.95):\n",
    "    current_x = x_start\n",
    "    current_loss = loss_function(torch.tensor([current_x])).item()\n",
    "    \n",
    "    T = initial_temp\n",
    "    path = [current_x]\n",
    "\n",
    "    for i in range(epochs):\n",
    "        # 在当前解的邻域内随机找一个新解\n",
    "        # 步长随着温度下降而减小\n",
    "        step_size = T / initial_temp \n",
    "        new_x = current_x + np.random.uniform(-1, 1) * step_size * 5\n",
    "\n",
    "        new_loss = loss_function(torch.tensor([new_x])).item()\n",
    "        \n",
    "        delta_e = new_loss - current_loss\n",
    "        \n",
    "        # 如果是更好的解，或者根据Metropolis准则接受差解\n",
    "        if delta_e < 0 or math.exp(-delta_e / T) > np.random.rand():\n",
    "            current_x = new_x\n",
    "            current_loss = new_loss\n",
    "        \n",
    "        path.append(current_x)\n",
    "        \n",
    "        # 降温\n",
    "        T *= alpha\n",
    "        if T < final_temp:\n",
    "            break\n",
    "            \n",
    "    return path\n",
    "\n",
    "\n",
    "# --- 主程序 ---\n",
    "# 参数设置\n",
    "start_x = 8.0\n",
    "learning_rate = 0.01\n",
    "momentum_val = 0.9\n",
    "num_epochs = 100\n",
    "\n",
    "# 运行所有优化器\n",
    "path_gd = run_optimizer('GD', start_x, lr=learning_rate, epochs=num_epochs)\n",
    "path_sgd_noise = run_optimizer('SGD_Noise', start_x, lr=learning_rate, epochs=num_epochs)\n",
    "path_momentum = run_optimizer('Momentum', start_x, lr=learning_rate, momentum=momentum_val, epochs=num_epochs)\n",
    "path_adam = run_optimizer('Adam', start_x, lr=0.4, epochs=num_epochs) # Adam通常用稍大的学习率\n",
    "path_sa = run_simulated_annealing(start_x, epochs=num_epochs)\n",
    "path_lbfgs = run_lbfgs(start_x, epochs=num_epochs)\n",
    "\n",
    "\n",
    "print(f'gd: {path_gd[-1]}')\n",
    "print(f'sgd: {path_sgd_noise[-1]}')\n",
    "print(f'momentum: {path_momentum[-1]}')\n",
    "print(f'adam: {path_adam[-1]}')\n",
    "print(f'sa: {path_sa[-1]}')\n",
    "print(f'lbfgs: {path_lbfgs[-1]}')\n",
    "\n",
    "\n",
    "# --- 可视化 ---\n",
    "x_vals = np.linspace(-10, 10, 400)\n",
    "y_vals = loss_function(torch.tensor(x_vals)).numpy()\n",
    "\n",
    "plt.figure(figsize=(14, 8))\n",
    "plt.plot(x_vals, y_vals, label='$f(x) = x^2 + 10 \\sin(x)$', color='gray', linestyle='--')\n",
    "\n",
    "# 绘制每个优化器的路径\n",
    "def plot_path(path, label, color, marker):\n",
    "    y_path = loss_function(torch.tensor(path)).numpy()\n",
    "    plt.plot(path, y_path, label=label, color=color, marker=marker, markersize=5, alpha=0.8)\n",
    "    plt.plot(path[0], y_path[0], marker='o', markersize=10, color=color) # 起点\n",
    "    plt.plot(path[-1], y_path[-1], marker='x', markersize=12, markeredgewidth=3, color=color) # 终点\n",
    "\n",
    "plot_path(path_gd, 'GD', 'red', '.')\n",
    "plot_path(path_sgd_noise, 'SGD', 'orange', '.')\n",
    "plot_path(path_momentum, 'Momentum', 'green', '.')\n",
    "plot_path(path_adam, 'Adam', 'blue', '.')\n",
    "plot_path(path_sa, 'SA', 'purple', '.')\n",
    "plot_path(path_lbfgs, 'L-BFGS', 'cyan', 'P') # 用不同标记\n",
    "\n",
    "\n",
    "# 标记最优点\n",
    "global_min_x = -1.3064\n",
    "local_min_x = 4.6583\n",
    "plt.axvline(global_min_x, color='black', linestyle=':', label=f'global (x ≈ {global_min_x:.2f})')\n",
    "plt.axvline(local_min_x, color='black', linestyle=':', alpha=0.5, label=f'local (x ≈ {local_min_x:.2f})')\n",
    "\n",
    "\n",
    "plt.title('optimizers', fontsize=16)\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('f(x)')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.ylim(-10, 80)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "b2d8b0d8-616e-49a2-9631-d910863479f4",
   "metadata": {},
   "outputs": [],
   "source": [
    "# path_lbfgs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "67e56010-3964-4de8-ba73-d46c410d8835",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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